Could anyone please help me with this problem? Assume that 4 digits are selected at random from the set {1,3,7,8,9} and are arranged in random order.
What is the probability that the resulting 4-digit number is less than 8000?

Question

Could anyone please help me with this problem? Assume that 4 digits are selected at random from the set {1,3,7,8,9} and are arranged in random order.
What is the probability that the resulting 4-digit number is less than 8000?

anonymous · Answer

the question states "what is the probability"

anonymous · Answer

ok sorry i did not see it

anonymous · Answer

I can help you!

anonymous · Answer

We have a four-digit number, and we want it to be less than 8000. One way to find the probability would be to look at every possible 4-digit number which uses the correct combination of digits, but there's a shorter way to do things.

anonymous · Answer

If we want the number to be below 8000, what can you tell me about the first digit?

anonymous · Answer

The first digit has to be 1,3,or 7.

amistre64 · Answer

how many number can we make in total?

amistre64 · Answer

can we assume the digits can be repeated,  like: 1111?

anonymous · Answer

There is no repetition